Persistent homology for kernels, images, and cokernels Conference Paper

Author(s): Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Morozov, Dmitriy
Title: Persistent homology for kernels, images, and cokernels
Abstract: Motivated by the measurement of local homology and of functions on noisy domains, we extend the notion of persistent homology to sequences of kernels, images, and cokernels of maps induced by inclusions in a filtration of pairs of spaces. Specifically, we note that persistence in this context is well defined, we prove that the persistence diagrams are stable, and we explain how to compute them.
Conference Title: SODA: Symposium on Discrete Algorithms
Conference Dates: January 4-6, 2009
Conference Location: New York, NY, USA
ISBN: 1557-9468
Publisher: SIAM  
Date Published: 2009-01-01
Start Page: 1011
End Page: 1020
Open access: no
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